Question

3^x= 21875. What is the value of X?

Answer 1

Answer:

If,

${3}^{x} = 2187 \\ = > x = 7 \\ = = = = = = =$

But 3^x ≠ 21875,if x is a whole number.

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Answer 2

Answer: x = log10(21875)/log10(3)

Step-by-step explanation:

3x=21875

3 to the power of x equals 21875

Take the log of both sides

log10(3x)=log10(21875)

Rewrite the left side of the equation using the rule for the log of a power

x•log10(3)=log10(21875)

Then, Isolate the variable x by dividing both sides by the constant term log10(3)

x = log10(21875)/log10(3)